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Finding the Fourth Proportional to 3,482.26, 5,223.39 and 1,728.47

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Solution

The fourth proportional to 3,482.26, 5,223.39 and 1,728.47 is: 2,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.26 : 5,223.39 = 1,728.47 : x
  2. Step 2: Convert to fraction form
    3,482.26/5,223.39 = 1,728.47/x
  3. Step 3: Cross multiply
    3,482.26x = 5,223.39 × 1,728.47
  4. Step 4: Simplify right side
    3,482.26x = 9,028,464.27
  5. Step 5: Solve for x
    x = 9,028,464.27/3,482.26
  6. Step 6: Final answer
    x = 2,592.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.